結果

問題 No.1741 Arrays and XOR Procedure
ユーザー stoqstoq
提出日時 2021-11-26 02:56:23
言語 C++17
(gcc 11.1.0 + boost 1.77.0)
結果
AC  
実行時間 47 ms / 2,000 ms
コード長 5,572 Byte
コンパイル時間 4,202 ms
使用メモリ 11,400 KB
最終ジャッジ日時 2021-11-26 02:56:32
合計ジャッジ時間 8,438 ms
ジャッジサーバーID
(参考情報)
judge12 / judge14
このコードへのチャレンジ(β)

テストケース

テストケース表示
入力 結果 実行時間
使用メモリ
testcase_00 AC 18 ms
10,536 KB
testcase_01 AC 18 ms
10,532 KB
testcase_02 AC 18 ms
10,424 KB
testcase_03 AC 40 ms
11,376 KB
testcase_04 AC 18 ms
10,452 KB
testcase_05 AC 37 ms
11,328 KB
testcase_06 AC 42 ms
11,320 KB
testcase_07 AC 47 ms
11,328 KB
testcase_08 AC 43 ms
11,176 KB
testcase_09 AC 41 ms
11,232 KB
testcase_10 AC 39 ms
11,256 KB
testcase_11 AC 35 ms
11,064 KB
testcase_12 AC 30 ms
10,920 KB
testcase_13 AC 38 ms
11,296 KB
testcase_14 AC 32 ms
10,960 KB
testcase_15 AC 37 ms
11,256 KB
testcase_16 AC 20 ms
10,544 KB
testcase_17 AC 24 ms
10,800 KB
testcase_18 AC 33 ms
10,980 KB
testcase_19 AC 19 ms
10,588 KB
testcase_20 AC 41 ms
11,400 KB
testcase_21 AC 36 ms
11,076 KB
testcase_22 AC 34 ms
10,980 KB
testcase_23 AC 25 ms
10,716 KB
testcase_24 AC 20 ms
10,536 KB
testcase_25 AC 41 ms
11,348 KB
testcase_26 AC 27 ms
10,724 KB
testcase_27 AC 19 ms
10,544 KB
testcase_28 AC 35 ms
11,024 KB
testcase_29 AC 38 ms
11,336 KB
testcase_30 AC 35 ms
10,972 KB
testcase_31 AC 20 ms
10,536 KB
testcase_32 AC 27 ms
10,800 KB
testcase_33 AC 30 ms
11,032 KB
testcase_34 AC 23 ms
10,728 KB
testcase_35 AC 18 ms
10,500 KB
testcase_36 AC 20 ms
10,588 KB
testcase_37 AC 28 ms
10,808 KB
testcase_38 AC 44 ms
11,268 KB
testcase_39 AC 27 ms
10,796 KB
testcase_40 AC 21 ms
10,396 KB
testcase_41 AC 23 ms
10,796 KB
testcase_42 AC 19 ms
10,532 KB
testcase_43 AC 18 ms
10,460 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#define MOD_TYPE 2

#include <bits/stdc++.h>
using namespace std;

#include <atcoder/all>
//#include <atcoder/modint>
//#include <atcoder/lazysegtree>

using namespace atcoder;

#if 0
#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
using Int = boost::multiprecision::cpp_int;
using lld = boost::multiprecision::cpp_dec_float_100;
#endif

#if 0
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tag_and_trait.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
template <typename T>
using extset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#endif

#if 1
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif

#pragma region Macros

using ll = long long int;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pld = pair<ld, ld>;
template <typename Q_type>
using smaller_queue = priority_queue<Q_type, vector<Q_type>, greater<Q_type>>;

#if MOD_TYPE == 1
constexpr ll MOD = ll(1e9 + 7);
#else
#if MOD_TYPE == 2
constexpr ll MOD = 998244353;
#else
constexpr ll MOD = 1000003;
#endif
#endif

using mint = static_modint<MOD>;
constexpr int INF = (int)1e9 + 10;
constexpr ll LINF = (ll)4e18;
constexpr double PI = acos(-1.0);
constexpr double EPS = 1e-11;
constexpr int Dx[] = {0, 0, -1, 1, -1, 1, -1, 1, 0};
constexpr int Dy[] = {1, -1, 0, 0, -1, -1, 1, 1, 0};

#define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i)
#define rep(i, n) REP(i, 0, n)
#define REPI(i, m, n) for (int i = m; i < (int)(n); ++i)
#define repi(i, n) REPI(i, 0, n)
#define YES(n) cout << ((n) ? "YES" : "NO") << "\n"
#define Yes(n) cout << ((n) ? "Yes" : "No") << "\n"
#define possible(n) cout << ((n) ? "possible" : "impossible") << "\n"
#define Possible(n) cout << ((n) ? "Possible" : "Impossible") << "\n"
#define all(v) v.begin(), v.end()
#define NP(v) next_permutation(all(v))
#define dbg(x) cerr << #x << ":" << x << "\n";
#define UNIQUE(v) v.erase(unique(all(v)), v.end())

struct io_init {
  io_init() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << setprecision(30) << setiosflags(ios::fixed);
  };
} io_init;
template <typename T>
inline bool chmin(T& a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <typename T>
inline bool chmax(T& a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
inline ll CEIL(ll a, ll b) { return (a + b - 1) / b; }
template <typename A, size_t N, typename T>
inline void Fill(A (&array)[N], const T& val) {
  fill((T*)array, (T*)(array + N), val);
}
template <typename T>
vector<T> compress(vector<T>& v) {
  vector<T> val = v;
  sort(all(val)), val.erase(unique(all(val)), val.end());
  for (auto&& vi : v) vi = lower_bound(all(val), vi) - val.begin();
  return val;
}
template <typename T, typename U>
constexpr istream& operator>>(istream& is, pair<T, U>& p) noexcept {
  is >> p.first >> p.second;
  return is;
}
template <typename T, typename U>
constexpr ostream& operator<<(ostream& os, pair<T, U> p) noexcept {
  os << p.first << " " << p.second;
  return os;
}
ostream& operator<<(ostream& os, mint m) {
  os << m.val();
  return os;
}
ostream& operator<<(ostream& os, modint m) {
  os << m.val();
  return os;
}
template <typename T>
constexpr istream& operator>>(istream& is, vector<T>& v) noexcept {
  for (int i = 0; i < v.size(); i++) is >> v[i];
  return is;
}
template <typename T>
constexpr ostream& operator<<(ostream& os, vector<T>& v) noexcept {
  for (int i = 0; i < v.size(); i++)
    os << v[i] << (i + 1 == v.size() ? "" : " ");
  return os;
}

random_device seed_gen;
mt19937_64 engine(seed_gen());

struct BiCoef {
  vector<mint> fact_, inv_, finv_;
  BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
    fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
    for (int i = 2; i < n; i++) {
      fact_[i] = fact_[i - 1] * i;
      inv_[i] = -inv_[MOD % i] * (MOD / i);
      finv_[i] = finv_[i - 1] * inv_[i];
    }
  }
  mint C(ll n, ll k) const noexcept {
    if (n < k || n < 0 || k < 0) return 0;
    return fact_[n] * finv_[k] * finv_[n - k];
  }
  mint P(ll n, ll k) const noexcept { return C(n, k) * fact_[k]; }
  mint H(ll n, ll k) const noexcept { return C(n + k - 1, k); }
  mint Ch1(ll n, ll k) const noexcept {
    if (n < 0 || k < 0) return 0;
    mint res = 0;
    for (int i = 0; i < n; i++)
      res += C(n, i) * mint(n - i).pow(k) * (i & 1 ? -1 : 1);
    return res;
  }
  mint fact(ll n) const noexcept {
    if (n < 0) return 0;
    return fact_[n];
  }
  mint inv(ll n) const noexcept {
    if (n < 0) return 0;
    return inv_[n];
  }
  mint finv(ll n) const noexcept {
    if (n < 0) return 0;
    return finv_[n];
  }
};

BiCoef bc(500010);

#pragma endregion

// -------------------------------

int n;

// k! が何回2で割り切れるか
int fact(int k) {
  int res = 0;
  while (k / 2 > 0) {
    res += k / 2;
    k /= 2;
  }
  return res;
}

// binom[n-1,k] mod 2
bool C(int k) { return fact(n - 1) <= fact(k) + fact(n - 1 - k); }

void solve() {
  cin >> n;
  vector<int> b(n);
  cin >> b;
  mint dp[200010][2] = {};
  dp[0][0] = 1;
  rep(i, n) rep(j, 2) {
    bool c = C(i);
    if (b[i] == -1) {
      if (c == 0) {
        dp[i + 1][j] += dp[i][j] * 2;
      } else {
        dp[i + 1][j] += dp[i][j];
        dp[i + 1][j ^ 1] += dp[i][j];
      }
    } else {
      dp[i + 1][j ^ (c & b[i])] += dp[i][j];
    }
  }
  cout << dp[n][1] << "\n";
}

int main() { solve(); }
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